In a bowl, whisk together the coconut milk, lime juice, lime zest, minced garlic, grated ginger, honey, ground cumin, salt, and pepper until well combined.
Place the chicken breasts in a resealable plastic bag or dish, and pour the coconut lime marinade over the chicken. Seal or cover, and marinate in the refrigerator for at least 30 minutes, or up to 2 hours for enhanced flavor.
Preheat your grill or skillet over medium heat. If grilling, oil the grates lightly.
Remove the chicken from the marinade and let any excess drip off. Reserve the marinade for later.
Grill or cook the chicken for about 6-7 minutes on each side, or until fully cooked through and the internal temperature reaches 165°F (75°C).
While the chicken is cooking, pour the reserved marinade into a small saucepan. Bring it to a boil and then reduce heat to simmer for 5 minutes, allowing it to thicken slightly.
Once the chicken is cooked, remove it from the heat and let it rest for a few minutes.
Drizzle the thickened coconut lime sauce over the chicken, and garnish with chopped cilantro. Serve with lime wedges on the side for an extra zing.
Notes
Marinate the chicken for longer for enhanced flavor.